Linked from

The 13 pages that link to Quotient space, each with the reason it gives.

• Homogeneous coordinatesRelated: Projective space is built from nonzero vectors after identifying vectors on the same line.

• Configuration spaceRelated: Forgetting point labels identifies configurations related by permutations.

• Quotient groupRelated: It uses the same class-collapsing idea but need not preserve a group operation.

• Rank–nullity theoremRelated: The map’s image is isomorphic to the domain modulo its kernel.

• Invariant subspaceRelated: An invariant subspace lets the operator induce a map on the quotient.

• Kernel (linear algebra)Related: Factoring the domain by the kernel identifies inputs with the same output.

• Open mapping theoremRelated: The theorem makes quotient maps by closed subspaces open, a key structural property.

• Flat torusRelated: Identifying lattice translates turns the plane into a compact torus.

• Dimension theorem for vector spacesRelated: The map induces an isomorphism from the domain modulo its kernel onto its image.

• Excision theoremRelated: Under suitable conditions, relative homology can be computed using a quotient by the subspace.